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Highlights in Lie Algebraic Methods

  • Book
  • © 2012

Overview

Editors:
  1. Anthony Joseph

    1. Department of Mathematics, Weizmann Institute, Rehovot, Israel

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    You can also search for this editor in PubMed   Google Scholar

  2. Anna Melnikov

    1. Department of Mathematics, Univeristy of Haifa, Haifa, Israel

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    You can also search for this editor in PubMed   Google Scholar

  3. Ivan Penkov

    1. School of Engineering and Science, Jacobs University, Bremen, Germany

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    You can also search for this editor in PubMed   Google Scholar

  • Consists of invited contributions highlighting recent developments in Lie algebraic methods
  • Self-contained volume
  • Written by leading experts in their respective fields
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Mathematics (PM, volume 295)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XV
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  3. Papers

    1. Front Matter

      Pages 145-145
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    2. B-Orbits of 2-Nilpotent Matrices and Generalizations

      • Magdalena Boos, Markus Reineke
      Pages 147-166

    3. Weyl Denominator Identity for Finite-Dimensional Lie Superalgebras

      • Maria Gorelik
      Pages 167-188

    4. Hopf Algebras and Frobenius Algebras in Finite Tensor Categories

      • Christoph Schweigert, Jürgen Fuchs
      Pages 189-203

    5. Mutation Classes of 3×3 Generalized Cartan Matrices

      • Ahmet I. Seven
      Pages 205-211

    6. Contractions and Polynomial Lie Algebras

      • Benjamin J. Wilson
      Pages 213-227
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Keywords

About this book

This volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and Kac–Moody Lie algebras, modular representations, primitive ideals, representation theory of Artin algebras and quivers, Kac–Moody superalgebras, categories of Harish–Chandra modules, cohomological methods, and cluster algebras. 

Editors and Affiliations

  • Department of Mathematics, Weizmann Institute, Rehovot, Israel

    Anthony Joseph

  • Department of Mathematics, Univeristy of Haifa, Haifa, Israel

    Anna Melnikov

  • School of Engineering and Science, Jacobs University, Bremen, Germany

    Ivan Penkov

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